13735981952 has 384 divisors, whose sum is σ = 36604323840. Its totient is φ = 5018112000.

The previous prime is 13735981933. The next prime is 13735981957. The reversal of 13735981952 is 25918953731.

It is a junction number, because it is equal to n+sod(n) for n = 13735981894 and 13735981903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13735981957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205014623 + ... + 205014689.

It is an arithmetic number, because the mean of its divisors is an integer number (95323760).

Almost surely, 2^13735981952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13735981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18302161920).

13735981952 is an abundant number, since it is smaller than the sum of its proper divisors (22868341888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13735981952 is a wasteful number, since it uses less digits than its factorization.

13735981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 53.

The spelling of 13735981952 in words is "thirteen billion, seven hundred thirty-five million, nine hundred eighty-one thousand, nine hundred fifty-two".